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Finding the Third Proportional to 282,557 and 396,003

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Solution

The third proportional to 282,557 and 396,003 is: 554,997.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    282,557 : 396,003 = 396,003 : x
  2. Step 2: Convert to fraction form
    282,557/396,003 = 396,003/x
  3. Step 3: Cross multiply
    282,557x = 396,003 × 396,003
  4. Step 4: Simplify right side
    282,557x = 156,818,376,009
  5. Step 5: Solve for x
    x = 156,818,376,009/282,557
  6. Step 6: Final answer
    x = 554,997.31

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Why These Related Problems?

These problems maintain the same ratio (1.40) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.